企源知识库

求∫[x⁴/(x²+1)]dx．
【正确答案】：(1/3)x³-x+arctanx+C 分析 ∫[x⁴/(x²+1)]dx=∫[(x⁴-1+1)/(x²+1)]dx =∫[x²-1+1/(x²+1)]+dx =(1/3)x³-x+arctanx+C